Jawaban:
x={60,180}
#backtoschool2019
Penjelasan dengan langkah-langkah:
Ada pada gambar
Trigonometri
2 cos x - 2√3 sin x = -2
2√3 sin x - 2 cos x = 2
sin (+), cos (-) → kuadran 2
K = √((2√3)² + (-2)²) = 4
tan a = (2√3 / (-2)) = - √3
a = 120°
K cos (x - a) = 2
4 cos (x - 120°) = 2
cos (x - 120°) = 1/2
x - 120° = 60° + k.360°
x = 180° + k.360°
x - 120° = 300° + k.360°
x = 420° + k.360°
x = 60° + k.360°
0° ≤ x ≤ 360°
k = 0 → x = 60° atau x = 180°
HP = {60°, 180°}
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Jawaban:
x={60,180}
#backtoschool2019
Penjelasan dengan langkah-langkah:
Ada pada gambar
Trigonometri
2 cos x - 2√3 sin x = -2
2√3 sin x - 2 cos x = 2
2√3 sin x - 2 cos x = 2
sin (+), cos (-) → kuadran 2
K = √((2√3)² + (-2)²) = 4
tan a = (2√3 / (-2)) = - √3
a = 120°
2√3 sin x - 2 cos x = 2
K cos (x - a) = 2
4 cos (x - 120°) = 2
cos (x - 120°) = 1/2
x - 120° = 60° + k.360°
x = 180° + k.360°
x - 120° = 300° + k.360°
x = 420° + k.360°
x = 60° + k.360°
0° ≤ x ≤ 360°
k = 0 → x = 60° atau x = 180°
HP = {60°, 180°}